New posts in real-numbers

A topology on the set of lines?

general-topology geometry reference-request metric-spaces real-numbers

Does the concept of permutation make sense for a set indexed by the real numbers?

permutations real-numbers

Can we have a one-one function from [0,1] to the set of irrational numbers?

functions elementary-set-theory real-numbers

Why is it so hard to prove a number is transcendental?

abstract-algebra number-theory soft-question real-numbers transcendental-numbers

A series with only rational terms for $\ln \ln 2$

real-analysis sequences-and-series number-theory logarithms real-numbers

When trying to learn analysis from bottom up, what numbers should I first construct?

real-numbers advice

Is there a bijection between the reals and naturals?

set-theory real-numbers model-theory

An interesting way of expressing any real number using the harmonic series.

sequences-and-series real-numbers rational-numbers

Constructing the reals from the integers

reference-request real-numbers

How can you show by hand that $ e^{-1/e} < \ln(2) $?

sequences-and-series inequality exponential-function real-numbers decimal-expansion

Is any real-valued function in physics somehow continuous?

functions soft-question physics real-numbers

Terence Tao, Analysis I, Ex. 5.5.2: Entry point needed

real-analysis proof-verification real-numbers

Group Structure on $\Bbb R$

real-analysis general-topology topological-groups real-numbers

A curiosity: how do we prove $\mathbb{R}$ is closed under addition and multiplication?

real-analysis group-theory field-theory real-numbers abelian-groups

Elementary Linear Algebra Question

linear-algebra complex-numbers systems-of-equations real-numbers

when product of irrational numbers = rational number?

real-analysis real-numbers irrational-numbers

Is $0$ an imaginary number?

complex-numbers terminology definition real-numbers

Every closed set is a boundary [duplicate]

general-topology metric-spaces real-numbers

Solving a floor function problem [closed]

real-analysis calculus number-theory real-numbers ceiling-and-floor-functions

Dedekind cuts for $\pi$ and $e$

real-analysis real-numbers